In Part 1 we presented a modified approach to determining the total power absorbed by a charged damped oscillator . Some of the implications of this approach were explored in Part 2. In Part 3 we introduce the Sigma function . In part 4 the spectrum analysis of a two-node model of an electron is presented.
Collection pythagoraspublishing; additional_collections
In our model of a two-node system in equilibrium, the electrostatic energy of the system is equal to and in equilibrium to the magnetic energy. In an electron, we find the same type of balance or equilibrium between the electrostatic and the magnetic energy of the system.
Consider a simple model of an electron whereby the electron is a nanoscopic loop or disk of radius a, with a loop current i, that is circulating with angular frequency , generating a magnetic field B inductively coupled to itself.
If we continue to probe the size of the electron and find it has no finite measurable size, then this implies it has an infinite bare mass. Similarly, if we find that the electron has no finite measurable size, then this implies it has an infinite bare charge.
Ultimately, this may mean that the electron is scale invariant at a nanoscale and is fractal in nature.
This matter will be explored in a subsequent paper.